A common year starting on Tuesday is any non-leap year (i.e. a year with 365 days) that begins on Tuesday, 1 January, and ends on Tuesday, 31 December. Its dominical letter hence is F. The most recent year of such kind was 2013 and the next one will be 2019 in the Gregorian calendar[6] or, likewise, 2014 and 2025 in the obsolete Julian calendar, see . Any common year that starts on Sunday, Monday or Tuesday has two Friday the 13ths. Like a leap year starting on Monday, this common year contains two Friday the 13ths in September and December.

Calendars

Calendar for any common year starting on Tuesday,
presented as common in many English-speaking areas

0102030405
06070809101112
13141516171819
20212223242526
2728293031 
 
0102
03040506070809
10111213141516
17181920212223
2425262728
 
0102
03040506070809
10111213141516
17181920212223
24252627282930
31 
010203040506
07080910111213
14151617181920
21222324252627
282930 
 
01020304
05060708091011
12131415161718
19202122232425
262728293031 
 
01
02030405060708
09101112131415
16171819202122
23242526272829
30 
010203040506
07080910111213
14151617181920
21222324252627
28293031 
 
010203
04050607080910
11121314151617
18192021222324
25262728293031
 
01020304050607
08091011121314
15161718192021
22232425262728
2930 
 
0102030405
06070809101112
13141516171819
20212223242526
2728293031 
 
0102
03040506070809
10111213141516
17181920212223
24252627282930
 
01020304050607
08091011121314
15161718192021
22232425262728
293031 
 


ISO 8601-conformant calendar with week numbers for
any common year starting on Tuesday (dominical letter F)

010203040506
07080910111213
14151617181920
21222324252627
28293031 
 
01020304050607
08091011121314
15161718192021
22232425262728
2930 
 
01020304050607
08091011121314
15161718192021
22232425262728
293031 
 
010203040506
07080910111213
14151617181920
21222324252627
28293031 
 
010203
04050607080910
11121314151617
18192021222324
25262728
 
0102030405
06070809101112
13141516171819
20212223242526
2728293031 
 
01020304
05060708091011
12131415161718
19202122232425
262728293031 
 
010203
04050607080910
11121314151617
18192021222324
252627282930
 
010203
04050607080910
11121314151617
18192021222324
25262728293031
 
0102
03040506070809
10111213141516
17181920212223
24252627282930
 
01
02030405060708
09101112131415
16171819202122
23242526272829
30 
01
02030405060708
09101112131415
16171819202122
23242526272829
3031 

Applicable years

Gregorian Calendar

In the (currently used) Gregorian calendar, the fourteen types of year (seven common, seven leap) repeat in a 400-year cycle (20871 weeks). Forty-four common years per cycle or exactly 11% start on a Tuesday. The 28-year sub-cycle does only span across century years divisible by 400, e.g. 1600, 2000, and 2400.

Gregorian common years starting on Tuesday[6]
Decade1st2nd3rd4th5th6th7th8th9th10th
16th centuryprior to first adoption (proleptic)15851591
17th century16021613161916301641164716581669167516861697
18th century17091715172617371743175417651771178217931799
19th century18051811182218331839185018611867187818891895
20th century19011907191819291935194619571963197419851991
21st century20022013201920302041204720582069207520862097

Julian Calendar

In the now-obsolete Julian calendar, the fourteen types of year (seven common, seven leap) repeat in a 28-year cycle (1461 weeks). A leap year has two adjoining dominical letters (one for January and February and the other for March to December, as 29 February has no letter). This sequence occurs exactly once within a cycle, and every common letter thrice.

As the Julian calendar repeats after 28 years that means it will also repeat after 700 years, i.e. 25 cycles. The year's position in the cycle is given by the formula ((year + 8) mod 28) + 1). Years 7, 18 and 24 of the cycle are common years beginning on Tuesday. 2017 is year 10 of the cycle. Approximately 10.71% of all years are common years beginning on Tuesday.

Julian common years starting on Tuesday
Decade1st2nd3rd4th5th6th7th8th9th10th
15th century14091415142614371443145414651471148214931499
16th century1510152115271538154915551566157715831594
17th century16051611162216331639165016611667167816891695
18th century1706171717231734174517511762177317791790
19th century18011807181818291835184618571863187418851891
20th century19021913191919301941194719581969197519861997
21st century20032014202520312042205320592070208120872098